A double-sequence iteration process for fixed points of continuous pseudocontractions

DOI10.1016/S0898-1221(02)00121-9zbMath1005.47062MaRDI QIDQ1609089

Chika Moore

Publication date: 15 August 2002

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

strong convergencefixed pointMann iterationdouble-sequence iterationcontinuous pseudocontractive map

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Unnamed Item ⋮ Fixed points by certain iterative schemes with applications ⋮ Construction of fixed points by some iterative schemes ⋮ On solving Lipschitz pseudocontractive operator equations

Cites Work

• Unnamed Item
• Unnamed Item
• The convergence theorems of the sequence of Ishikawa iterates for hemicontractive mappings
• Iterative construction of fixed points of asymptotically nonexpansive mappings
• Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces
• Ishikawa and Mann iterative processes with error for nonlinear strongly accretive operator equations
• Iteration processes for nonlinear Lipschitzian strongly accretive mappings in \(L_ p\) spaces
• The solution by iteration of nonlinear equations in uniformly smooth Banach spaces
• The solution by iteration of nonlinear equations of Hammerstein type
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Steepest descent method for equilibrium points of nonlinear systems with accretive operators
• On Chidume's open questions
• Construction of fixed points of nonlinear mappings in Hilbert space
• An example on the Mann iteration method for Lipschitz pseudocontractions
• Iterative Approximation of Fixed Points of Lipschitzian Strictly Pseudo-Contractive Mappings
• Inequalities in Banach spaces with applications
• Global iteration schemes for strongly pseudo-contractive maps
• Fixed point iteration for pseudocontractive maps
• The solution by iteration of nonlinear equations involving Psi-strongly accretive operators
• Approximation of Fixed Points of Strongly Pseudocontractive Mappings
• Iterative Solutions of Nonlinear Equations of the Strongly Accretive Type
• Nonlinear accretive and pseudo-contractive operator equations in Banach spaces
• Fixed Points by a New Iteration Method
• Mean Value Methods in Iteration

This page was built for publication: A double-sequence iteration process for fixed points of continuous pseudocontractions